Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
392 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14558263 | C2 | semidirect |
| 3. #14557878 | C2 | semidirect |
| 4. #14557821 | C2 | semidirect |
| 5. #14557820 | C2 | semidirect |
| 6. #14557732 | C2 | semidirect |
| 7. #14557730 | C2 | semidirect |
| 8. C8×Dic74 | C2 | semidirect |
| 9. #14557624 | C2 | semidirect |
| 10. C4×#10596930 | C2 | semidirect |
| 11. C37×#486 | C2 | semidirect |
| 98. Dic74 | SD16 | semidirect |
| 99. Dic74 | #41 | semidirect |
| 129. #486 | D37 | semidirect |
| 137. C37 | #3362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558263 | 2 |
| #14558203 | 2 |
| #14557878 | 2 |
| #14557821 | 2 |
| #14557820 | 2 |
| #14557732 | 2 |
| #14557730 | 2 |
| C8×Dic74 | 2 |
| #14557624 | 2 |
| C4×#10596930 | 2 |
| C37×#486 | 2 |
| #3362 | 37 |